they said :-
For 3mm and 5mm LEDs, this is usually 20 mA or close to it. A few special, high-power LEDs exist, but they always come with specs. So if you need to guess, use 20 here.
so if you use normal led (not super light, you can just use 20ma) is ok.
For your reference only, need calculate yourself carefully..
And sorry that i have a question, why use 11.1V and lost many energy to use resistor, cos you can just use a 3V dc battery supply also ok.